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Department of Physics

Staff profile

Publication details for Prof Nigel Glover

Garland, L. W., Gehrmann, T. Glover, E. W. N., Koukoutsakis, A. & Remiddi, E. (2002). The two-loop QCD matrix element for e^+e^->3 jets. Nuclear Physics B 627(1-2): 107-188.

Author(s) from Durham

Abstract

We compute the O(αs3) virtual QCD corrections to the γ*→qNot-foundg matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop amplitude. The calculation is performed by reducing all loop integrals appearing in the two-loop amplitude to a small set of known master integrals. Infrared and ultraviolet divergences are both regularized using conventional dimensional regularization, and the ultraviolet renormalization is performed in the scheme. The infrared pole structure of the matrix elements agrees with the prediction made by Catani using an infrared factorization formula. The analytic result for the finite terms of both matrix elements is expressed in terms of one- and two-dimensional harmonic polylogarithms.

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